Home Page of Lee Soo Teck

Education
- B.Sc. (Hons.), M.Sc. National University of Singapore
- Ph.D. Yale University
Current interests
- Representation theory
- Invariant Theory
List of
publications
-
On some degenerate principal series representations of U(n,n),
Journal of Functional Analysis, 126(1994), 305-366.
- (with Judith A. Packer) Twisted group C*-algebras for
two-step nilpotent and generalized discrete Heisenberg groups,
Journal of Operator Theory, 34(1995), 91-124.
- (with Judith A. Packer) The cohomology of the integer Heisenberg
groups, Journal of Algebra, 184(1996), 230-250.
-
Degenerate principal series representations of Sp(2n,R),
Compositio Mathematica, 103(1996), 123-151.
- (with Chen-Bo Zhu) Degenerate principal series and local
theta correspondence, Transactions of the American
Mathematical Society, 350(1998), No.12, 5017-5046.
- (with Chen-Bo Zhu) Degenerate principal series and local
theta correspondence II, Israel Journal of Mathematics, 100(1997), 29-59.
- (with Judith A. Packer) K-theory for C*-algebras associated to lattices
in Heisenberg Lie groups, Journal of Operator Theory, 41(1999), 291-319.
- (with Helmer Aslaksen and Judith A. Packer) K-theory for the
integer Heisenberg groups, K-theory, 16(1999), 201-227.
- (with Roger Howe) Degenerate principal series representations of
GL(n,C) and GL(n,R), Journal of Functional Analysis, 166(1999), 244-309.
- (with Chen-Bo Zhu) On the (g,K)-cohomology of certain theta lifts,
Pacific Journal of Mathematics, 199(2000), 93-110.
- (with Hung Yean Loke)
Degenerate principal series of U(p,q) and Spin(p,q),
Compositio Mathematica, 132(2002), 311-348.
- (with Hung Yean Loke)
Degenerate principal series of Sp(p,q),
Israel Journal of Mathematics, 137(2003), 355-379.
- (with Roger Howe)
Bases for some reciprocity algebras I,
Transactions of the American Mathematical Society, 359(2007), 4359-4387.
- (with Roger Howe)
Bases for some reciprocity algebras II,
Advances in Mathematics, 206(2006), 145-210.
- (with Roger Howe)
Bases for some reciprocity algebras III,
Compositio Mathematica, 142(2006), 1594-1614.
- Covariants of
Sp(n,C) and degenerate principal series of GL(n,H),
Journal of Functional Analysis, 253(2007), 18-42.
- (with Chen-Bo Zhu) Degenerate principal series and local theta
correspondence III: The case of complex groups, Journal of Algebra, 319(2008),
336-359.
- (with Kyo Nishiyama and Akihito Wachi)
Intersection of harmonics and Capelli identities for symmetric pairs,
Journal of the Mathematical Society of Japan,
60
(2008), 955-982.
- (with Roger Howe, Stephen
Jackson, Eng-Chye Tan and Jeb Willenbring) Toric degeneration of branching
algebras, Advances in Mathematics,
220
(2009), 1809-1841.
- (with Roger Howe)
Spherical harmonics on Grassmannians,
Colloquium Mathematicum,
138 (Special
volume dedicated to the memory of Andrzej Hulanicki) (2010), 349-364.
- (with Roger Howe) Why should the Littlewood-Richardson
Rule be true? Bulletin of the American
Mathematical Society, to appear.
- (with Sangjib Kim) Pieri algebras for the
orthogonal and symplectic groups, Israel
Journal of Mathematics, to appear.
Department of Mathematics
National University of Singapore
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